TSTP Solution File: ARI578_1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : ARI578_1 : TPTP v8.1.0. Released v5.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n029.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 14 22:09:31 EDT 2022

% Result   : Theorem 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 'CODE-FOR-$$PRODUCT')

% Comments : 
%------------------------------------------------------------------------------
cnf('$$LESSEQ-IS-REFLEXIVE',axiom,
    $lesseq(X,X) ).

tff('SOLVE-$$LESSEQ-BY-$$$LESS',axiom,
    ! [X: 'NUMBER',Y: 'NUMBER'] :
      ( $lesseq(X,Y)
      | '$$$LESS'(Y,X) ) ).

tff(13,negated_conjecture,
    ! [X: $int,Y: $int] :
      ( ~ $lesseq(2,X)
      | ~ $lesseq(2,Y)
      | ~ $lesseq($sum(X,Y),9)
      | ~ $lesseq(12,$sum($product(2,X),Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ineq_sys_solvable_3) ).

tff(15,plain,
    ! [X: $int] :
      ( '$$$LESS'(X,2)
      | '$$$LESS'(7,X)
      | '$$$LESS'(X,5) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[13,'SOLVE-$$LESSEQ-BY-$$$LESS','$$LESSEQ-IS-REFLEXIVE','SOLVE-$$LESSEQ-BY-$$$LESS','SOLVE-$$LESSEQ-BY-$$$LESS']),'CODE-FOR-$$PRODUCT','CODE-FOR-$$$LESS','CODE-FOR-$$SUM']) ).

cnf(17,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('RESOLVE',[status(thm)],[15,'CODE-FOR-$$$LESS']),'CODE-FOR-$$$LESS']) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ARI578_1 : TPTP v8.1.0. Released v5.1.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Fri Jun 17 12:20:28 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T12:20:28
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-17T12:20:28
% 0.20/0.51  
% 0.20/0.51  
% 0.20/0.51  #||
% 0.20/0.51  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.51  % SZS output start Refutation
% See solution above
% 0.20/0.51  ||#
% 0.20/0.51  
% 0.20/0.51  ; Summary of computation:
% 0.20/0.51  ;        35 formulas have been input or derived (from 16 formulas).
% 0.20/0.51  ;        17 (49%) were retained.  Of these,
% 0.20/0.51  ;           17 (100%) are still being kept.
% 0.20/0.51  ; 
% 0.20/0.51  ; Run time in seconds excluding printing time:
% 0.20/0.51  ;     0.001   4%   Read assertion file          (1 call)
% 0.20/0.51  ;     0.001   4%   Assert                       (1 call)
% 0.20/0.51  ;     0.002   7%   Process new row              (32 calls)
% 0.20/0.51  ;     0.001   4%   Resolution                   (30 calls)
% 0.20/0.51  ;     0.000   0%   Paramodulation               (15 calls)
% 0.20/0.51  ;     0.000   0%   Factoring                    (4 calls)
% 0.20/0.51  ;     0.000   0%   Condensing                   (12 calls)
% 0.20/0.51  ;     0.000   0%   Forward subsumption          (12 calls)
% 0.20/0.51  ;     0.000   0%   Backward subsumption         (12 calls)
% 0.20/0.51  ;     0.001   4%   Forward simplification       (32 calls)
% 0.20/0.51  ;     0.000   0%   Backward simplification      (17 calls)
% 0.20/0.51  ;     0.000   0%   Sortal reasoning             (127 calls)
% 0.20/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.51  ;     0.022  79%   Other
% 0.20/0.51  ;     0.028        Total
% 0.20/0.51  ;     0.029        Real time
% 0.20/0.51  ; 
% 0.20/0.51  ; Term-hash-array has 24 terms in all.
% 0.20/0.51  ; Feature-vector-row-index has 12 entries (12 at peak, 12 added, 0 deleted).
% 0.20/0.51  ; Feature-vector-row-index has 38 nodes (38 at peak, 38 added, 0 deleted).
% 0.20/0.51  ;  Retrieved 0 possibly forward subsuming rows in 12 calls.
% 0.20/0.51  ;  Retrieved 0 possibly backward subsumed rows in 12 calls.
% 0.20/0.51  ; Path-index has 33 entries (33 at peak, 33 added, 0 deleted).
% 0.20/0.51  ; Path-index has 66 nodes (66 at peak, 66 added, 0 deleted).
% 0.20/0.51  ; Trie-index has 33 entries (33 at peak, 33 added, 0 deleted).
% 0.20/0.51  ; Trie-index has 42 nodes (42 at peak, 42 added, 0 deleted).
% 0.20/0.51  ; Retrieved 16 generalization terms in 16 calls.
% 0.20/0.51  ; Retrieved 4 instance terms in 4 calls.
% 0.20/0.51  ; Retrieved 94 unifiable terms in 50 calls.
% 0.20/0.51  ; 
% 0.20/0.51  ; The agenda of rows to process has 1 entry:
% 0.20/0.51  ;     1 with value 10
% 0.20/0.51  ; The agenda of rows to give has 1 entry:
% 0.20/0.51  ;     1 with value (4 26)
% 0.20/0.51  Evaluation took:
% 0.20/0.51    0.029 seconds of real time
% 0.20/0.51    0.022362 seconds of user run time
% 0.20/0.51    0.006989 seconds of system run time
% 0.20/0.51    0 calls to %EVAL
% 0.20/0.51    0 page faults and
% 0.20/0.51    1,723,944 bytes consed.
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T12:20:28
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  * 
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